D-S Evidence Theory and Application of Fusion Support and Uncertainty

Abstract

To solve the problem that Dempster-Shafer (D-S) evidence theory gives combines results contrary to with facts when dealing with conflict evidence, a novel method of conflict evidence combination was proposed. First, the Spearman correlation coefficient is improved and the support between evidences is calculated, and original evidence is amended for the first time. Then, combined with the advantages of the interval distance based on fixed integrals, the uncertainty of evidence is analyzed, a new discount coefficient is determined, and original evidence body is secondarily revised. Finally, the fusion results are obtained by using the Dempster combination rule. The calculation and example analysis demonstrates that the proposed method can effectively fuse the evidence of conflict, and has a higher basic probability distribution than the classical improved algorithm. The proposed method was used for carbon/carbon composite sedimentation data, and a carbon/carbon composite sedimentation mass prediction model based on improved D-S evidence theory was established. Compared with several classical classifiers and the existing prediction model based on D-S evidence theory, this model is increased in accuraey by 5%~13%, which proves its validity.

Keywords

• d-s evidence theory
• conflict evidence
• support
• uncertainty
• carbon/carbon composites